Skip to main content
SpringerLink
Log in

E, B, μ, T phase structure of the D3/D7 holographic dual

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

The large N \( \mathcal{N} = 4 \) gauge theory with quenched \( \mathcal{N} = 2 \) quark matter displays chiral symmetry breaking in the presence of a magnetic field. We previously studied the temperature and chemical potential phase structure of this theory in the grand canonical ensemble-here we, in addition, include the effect of an electric field which acts to counter chiral symmetry breaking by dissociating mesons. We compute using the gravity dual based on the D3/probe-D7 brane system. The theory displays two transition at one of which chiral symmetry is restored. At the other transition density switches on, the mesons of the theory become unstable and a current forms, making it a conductor-insulator transition. Through the temperature, electric field, chemical potential volume (at fixed magnetic field parallel to the electric field) these transitions can coincide or separate at critical points, and be first order or second order. We map out this full phase structure which provides varied computable examples relevant to strongly coupled gauge theories and potentially condensed matter systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [SPIRES].

    Article  MathSciNet  MATH  Google Scholar 

  2. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [SPIRES].

    MathSciNet  MATH  Google Scholar 

  3. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  4. A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  5. M. Graña and J. Polchinski, Gauge/gravity duals with holomorphic dilaton, Phys. Rev. D 65 (2002) 126005 [hep-th/0106014] [SPIRES].

    ADS  Google Scholar 

  6. M. Bertolini, P. Di Vecchia, M. Frau, A. Lerda and R. Marotta, N = 2 gauge theories on systems of fractional D3/D7 branes, Nucl. Phys. B 621 (2002) 157 [hep-th/0107057] [SPIRES].

    Article  ADS  Google Scholar 

  7. M. Kruczenski, D. Mateos, R.C. Myers and D.J. Winters, Meson spectroscopy in AdS/CFT with flavour, JHEP 07 (2003) 049 [hep-th/0304032] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  8. J. Erdmenger, N. Evans, I. Kirsch and E. Threlfall, Mesons in Gauge/Gravity Duals — A Review, Eur. Phys. J. A 35 (2008) 81 [arXiv:0711.4467] [SPIRES].

    ADS  Google Scholar 

  9. V.G. Filev, C.V. Johnson, R.C. Rashkov and K.S. Viswanathan, Flavoured large-N gauge theory in an external magnetic field, JHEP 10 (2007) 019 [hep-th/0701001] [SPIRES].

    Article  ADS  Google Scholar 

  10. T. Albash, V.G. Filev, C.V. Johnson and A. Kundu, Finite Temperature Large-N Gauge Theory with Quarks in an External Magnetic Field, JHEP 07 (2008) 080 [arXiv:0709.1547] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  11. V.G. Filev, C.V. Johnson and J.P. Shock, Universal Holographic Chiral Dynamics in an External Magnetic Field, JHEP 08 (2009) 013 [arXiv:0903.5345] [SPIRES].

    Article  ADS  Google Scholar 

  12. N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Phase diagram of the D3/D5 system in a magnetic field and a BKT transition, Phys. Lett. B 698 (2011) 91 [arXiv:1003.2694] [SPIRES].

    ADS  Google Scholar 

  13. K. Jensen, A. Karch, D.T. Son and E.G. Thompson, Holographic Berezinskii-Kosterlitz-Thouless Transitions, Phys. Rev. Lett. 105 (2010) 041601 [arXiv:1002.3159] [SPIRES].

    Article  ADS  Google Scholar 

  14. N. Evans, K. Jensen and K.-Y. Kim, Non Mean-Field Quantum Critical Points from Holography, Phys. Rev. D 82 (2010) 105012 [arXiv:1008.1889] [SPIRES].

    ADS  Google Scholar 

  15. N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory, JHEP 03 (2010) 132 [arXiv:1002.1885] [SPIRES].

    Article  ADS  Google Scholar 

  16. J. Babington, J. Erdmenger, N.J. Evans, Z. Guralnik and I. Kirsch, Chiral symmetry breaking and pions in non-supersymmetric gauge/gravity duals, Phys. Rev. D 69 (2004) 066007 [hep-th/0306018] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  17. T. Albash, V.G. Filev, C.V. Johnson and A. Kundu, A topology-changing phase transition and the dynamics of flavour, Phys. Rev. D 77 (2008) 066004 [hep-th/0605088] [SPIRES].

    ADS  Google Scholar 

  18. D. Mateos, R.C. Myers and R.M. Thomson, Holographic phase transitions with fundamental matter, Phys. Rev. Lett. 97 (2006) 091601 [hep-th/0605046] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  19. D. Mateos, R.C. Myers and R.M. Thomson, Thermodynamics of the brane, JHEP 05 (2007) 067 [hep-th/0701132] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  20. S. Nakamura, Y. Seo, S.-J. Sin and K.P. Yogendran, A new phase at finite quark density from AdS/CFT, J. Korean Phys. Soc. 52 (2008) 1734 [hep-th/0611021] [SPIRES].

    Article  ADS  Google Scholar 

  21. S. Kobayashi, D. Mateos, S. Matsuura, R.C. Myers and R.M. Thomson, Holographic phase transitions at finite baryon density, JHEP 02 (2007) 016 [hep-th/0611099] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  22. S. Nakamura, Y. Seo, S.-J. Sin and K.P. Yogendran, Baryon-charge Chemical Potential in AdS/CFT, Prog. Theor. Phys. 120 (2008) 51 [arXiv:0708.2818] [SPIRES].

    Article  ADS  MATH  Google Scholar 

  23. D. Mateos, S. Matsuura, R.C. Myers and R.M. Thomson, Holographic phase transitions at finite chemical potential, JHEP 11 (2007) 085 [arXiv:0709.1225] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  24. J. Grosse, R.A. Janik and P. Surowka, Flavors in an expanding plasma, Phys. Rev. D 77 (2008) 066010 [arXiv:0709.3910] [SPIRES].

    ADS  Google Scholar 

  25. N. Evans, T. Kalaydzhyan, K.-y. Kim and I. Kirsch, Non-equilibrium physics at a holographic chiral phase transition, JHEP 01 (2011) 050 [arXiv:1011.2519] [SPIRES].

    Article  ADS  Google Scholar 

  26. G. Guralnik, Z. Guralnik and C. Pehlevan, Dynamics of the chiral phase transition from AdS/CFT duality, arXiv:1101.3095 [SPIRES].

  27. N. Evans, J. French and K.-y. Kim, Holography of a Composite Inflaton, JHEP 11 (2010) 145 [arXiv:1009.5678] [SPIRES].

    Article  ADS  Google Scholar 

  28. A. Karch and A. O’Bannon, Metallic AdS/CFT, JHEP 09 (2007) 024 [arXiv:0705.3870] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  29. A. O’Bannon, Hall Conductivity of Flavor Fields from AdS/CFT, Phys. Rev. D 76 (2007) 086007 [arXiv:0708.1994] [SPIRES].

    ADS  Google Scholar 

  30. J. Erdmenger, R. Meyer and J.P. Shock, AdS/CFT with Flavour in Electric and Magnetic Kalb-Ramond Fields, JHEP 12 (2007) 091 [arXiv:0709.1551] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  31. T. Albash, V.G. Filev, C.V. Johnson and A. Kundu, Quarks in an External Electric Field in Finite Temperature Large-N Gauge Theory, JHEP 08 (2008) 092 [arXiv:0709.1554] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  32. A. Karch, A. O’Bannon and E. Thompson, The Stress-Energy Tensor of Flavor Fields from AdS/CFT, JHEP 04 (2009) 021 [arXiv:0812.3629] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  33. J. Mas, J.P. Shock and J. Tarrio, Holographic Spectral Functions in Metallic AdS/CFT, JHEP 09 (2009) 032 [arXiv:0904.3905] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  34. M. Ammon, T.H. Ngo and A. O’Bannon, Holographic Flavor Transport in Arbitrary Constant Background Fields, JHEP 10 (2009) 027 [arXiv:0908.2625] [SPIRES].

    Article  ADS  Google Scholar 

  35. K.-Y. Kim, J.P. Shock and J. Tarrio, The open string membrane paradigm with external electromagnetic fields, arXiv:1103.4581 [SPIRES].

  36. K. Peeters, J. Sonnenschein and M. Zamaklar, Holographic melting and related properties of mesons in a quark gluon plasma, Phys. Rev. D 74 (2006) 106008 [hep-th/0606195] [SPIRES].

    ADS  Google Scholar 

  37. C. Hoyos-Badajoz, K. Landsteiner and S. Montero, Holographic Meson Melting, JHEP 04 (2007) 031 [hep-th/0612169] [SPIRES].

    Article  ADS  Google Scholar 

  38. R. Apreda, J. Erdmenger, N. Evans and Z. Guralnik, Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality, Phys. Rev. D 71 (2005) 126002 [hep-th/0504151] [SPIRES].

    ADS  Google Scholar 

  39. K.-Y. Kim, S.-J. Sin and I. Zahed, Dense hadronic matter in holographic QCD, hep-th/0608046 [SPIRES].

  40. K.-Y. Kim, S.-J. Sin and I. Zahed, The Chiral Model of Sakai-Sugimoto at Finite Baryon Density, JHEP 01 (2008) 002 [arXiv:0708.1469] [SPIRES].

    Article  ADS  Google Scholar 

  41. K.-Y. Kim, S.-J. Sin and I. Zahed, Dense and Hot Holographic QCD: Finite Baryonic E Field, JHEP 07 (2008) 096 [arXiv:0803.0318] [SPIRES].

    Article  ADS  Google Scholar 

  42. A. Davody, Noncritical Holographic QCD in External Electric Field, arXiv:1102.4509 [SPIRES].

Download references

Author information

Authors and Affiliations

  1. School of Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, U.K.

    Nick Evans, Astrid Gebauer & Keun-Young Kim

Authors
  1. Nick Evans
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Astrid Gebauer
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Keun-Young Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Keun-Young Kim.

Additional information

ArXiv ePrint: 1103.5627

Rights and permissions

Reprints and permissions

About this article

Cite this article

Evans, N., Gebauer, A. & Kim, KY. E, B, μ, T phase structure of the D3/D7 holographic dual. J. High Energ. Phys. 2011, 67 (2011). https://doi.org/10.1007/JHEP05(2011)067

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP05(2011)067

Keywords

Search

Navigation